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Finding the Fourth Proportional to 595,206.28, 821,390.70 and 323,276.80

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Solution

The fourth proportional to 595,206.28, 821,390.70 and 323,276.80 is: 446,125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,206.28 : 821,390.70 = 323,276.80 : x
  2. Step 2: Convert to fraction form
    595,206.28/821,390.70 = 323,276.80/x
  3. Step 3: Cross multiply
    595,206.28x = 821,390.70 × 323,276.80
  4. Step 4: Simplify right side
    595,206.28x = 265,536,557,045.76
  5. Step 5: Solve for x
    x = 265,536,557,045.76/595,206.28
  6. Step 6: Final answer
    x = 446,125.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.